Article ID Journal Published Year Pages File Type
1152775 Statistics & Probability Letters 2014 6 Pages PDF
Abstract

We give the optimal constants in the Marcinkiewicz–Zygmund inequalities for symmetric summands. As an application we substantially improve the estimates of Ren and Liang (2001) in the Marcinkiewicz–Zygmund–Hölder inequality and identify the best possible constants in the symmetric case.

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Physical Sciences and Engineering Mathematics Statistics and Probability
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Optimal constants in the Marcinkiewicz–Zygmund inequalities
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